Verify the identity. 1 1 = csc? x – sec2 x tan? x cot2 x Rewrite the left-hand size as a single fraction by cross multiplying, use the Pythagorean Identities on both terms in the numerator, and then simplify. 1 1 - tan2 x tan? x cot2 x (tan2 x)(cot2 x) 1)- (sec2 x – 1) LHS = (tan? x)(cot2 x) 1 %3D
Verify the identity. 1 1 = csc? x – sec2 x tan? x cot2 x Rewrite the left-hand size as a single fraction by cross multiplying, use the Pythagorean Identities on both terms in the numerator, and then simplify. 1 1 - tan2 x tan? x cot2 x (tan2 x)(cot2 x) 1)- (sec2 x – 1) LHS = (tan? x)(cot2 x) 1 %3D
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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![Verify the identity.
1
1
= csc? x – sec2 x
tan? x
cot2 x
Rewrite the left-hand size as a single fraction by cross multiplying, use the Pythagorean Identities on both terms in the numerator, and then simplify.
1
1
- tan2 x
tan? x
cot2 x
(tan2 x)(cot2 x)
1)- (sec2 x – 1)
LHS =
(tan? x)(cot2 x)
1
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcfef55d1-e74e-4acc-a65e-b6e34bf1c85d%2F217bdeeb-9c90-4a7f-83df-5c338e09756b%2Fh99psso.jpeg&w=3840&q=75)
Transcribed Image Text:Verify the identity.
1
1
= csc? x – sec2 x
tan? x
cot2 x
Rewrite the left-hand size as a single fraction by cross multiplying, use the Pythagorean Identities on both terms in the numerator, and then simplify.
1
1
- tan2 x
tan? x
cot2 x
(tan2 x)(cot2 x)
1)- (sec2 x – 1)
LHS =
(tan? x)(cot2 x)
1
%3D
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